McKee, S. and Castelo, A. and Cuminato, J.A. and Tomé, M.F. and Mangiavacchi, N. (2002) *A finite difference technique for simulating unsteady viscoelastic free surface flows.* Journal of Non-Newtonian Fluid Mechanics, 106 (2-3). pp. 61-106. ISSN 0377-0257

## Abstract

This work is concerned with the development of a numerical method capable of simulating viscoelastic free surface flow of an Oldroyd-B fluid. The basic equations governing the flow of an Oldroyd-B fluid are considered. A novel formulation is developed for the computation of the non-Newtonian extra-stress components on rigid boundaries. The full free surface stress conditions are employed. The resulting governing equations are solved by a finite difference method on a staggered grid, influenced by the ideas of the marker-and-cell (MAC) method. Numerical results demonstrating the capabilities of this new technique are presented for a number of problems involving unsteady free surface flows.

Item type: | Article |
---|---|

ID code: | 2078 |

Keywords: | viscoelastic flow, Oldroyd-B, finite difference, constitutive equations, computational physics, numerical analysis, Mathematics, Physics, Materials Science(all), Chemical Engineering(all), Mechanical Engineering, Applied Mathematics, Condensed Matter Physics |

Subjects: | Science > Mathematics Science > Physics |

Department: | Faculty of Science > Mathematics and Statistics |

Related URLs: | |

Depositing user: | Strathprints Administrator |

Date Deposited: | 23 Feb 2007 |

Last modified: | 04 Sep 2014 11:07 |

URI: | http://strathprints.strath.ac.uk/id/eprint/2078 |

### Actions (login required)

View Item |